Bunuel wrote:
GMAT Club Tests' Fresh Question:
If x ≠ 0, what is the value of x ?
(1) \(|x^x| = 1\)
(2) \(x^5 = x^x\)
Analyzing the question:We are playing around with exponents of exponents. When evaluating exponents we want to keep a few special cases in mind and test them out: The exponent being 0 or 1, the base being 0 or 1. Here we should also test -1 since we see absolute values.
Statement 1:x = 1 or x = -1 satisfy this, insufficient.
Statement 2:This one is a little tricky, x = 5 and x = 1 both satisfy this equation. Since 5 is an odd exponent, we should test out x=-1 as well, which works.
Combined:x = 1 or x = -1 satisfy both statements, insufficient.
Ans: E
_________________
Source: We are an NYC based, in-person and online GMAT tutoring and prep company. We are the only GMAT provider in the world to
guarantee specific GMAT scores with our flat-fee tutoring packages, or to publish student score increase rates. Our typical new-to-GMAT student score increase rate is 3-9 points per tutoring hour, the
fastest in the world. Feel free to
reach out!